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Finding the Third Proportional to 42.94 and 93.44

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Solution

The third proportional to 42.94 and 93.44 is: 203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 93.44 = 93.44 : x
  2. Step 2: Convert to fraction form
    42.94/93.44 = 93.44/x
  3. Step 3: Cross multiply
    42.94x = 93.44 × 93.44
  4. Step 4: Simplify right side
    42.94x = 8,730.57
  5. Step 5: Solve for x
    x = 8,730.57/42.94
  6. Step 6: Final answer
    x = 203.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.